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ch - properties of matter !!
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Explanation:
Please refer the image
3 more steps
(h²)=25 h
h=25 h
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When mercury is poured on the top of the piston. due to increase in Pressure, the volume of air will decrease according to Boyle's law.
if final mercury column of height x is poured on the pistion then gas pressure in equilibrium can be given as
p = (76 + x)cm of Hg
As atmospheric pressure is equivalent to the pressure due to a mercury column of height 76cm.
If A be the area of cross secion of cylinder then we have according to Boyle's law .i.e.,
➠ p₁V₁ = p₂V₂
➠ (76)(100A) = (76 + x)(100 - x)A
➠ 7600 = 7600 + 24x - x²
➠ 0 = 24x - x²
➠ 0 = x(24 - x)
➠ x = 24cm.
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